Better approximation of the solution for the propagation of the quasi-solitons

Paul E. Sterian; Tiberiu Visan; Laurentiu Tescan

doi:10.1117/12.478634

9 August 2002 Better approximation of the solution for the propagation of the quasi-solitons

Paul E. Sterian, Tiberiu Visan, Laurentiu Tescan

Proceedings Volume 4762, ALT'01 International Conference on Advanced Laser Technologies; (2002) https://doi.org/10.1117/12.478634
Event: International Conference on: Advanced Laser Technologies (ALT'01), 2001, Constanta, Romania

Abstract

In this paper is proposed a more precise mathematical analytical expression to the propagation solutions along an optical fiber with a dispersion profile adapted to the so called quasi-solitons introduced by Kumar and Hasegawa. An approximation based of variational methods has also been made by C. Pare. The propagation characteristic parameters of these pulses are described by the same propagation law. The concept of quasi-soliton has been recently introduced, as a chirped soliton adapted to a novel dispersion profile. By using a periodic amplification and a grating for chirp reconstruction, the transmission over a long distance is allowed. The mathematical expression of a such quasi-soliton is well defined except its envelope that is described by the eigenfunctions of the following non-linear differential equation: f_xx + (alpha) f³ -(a + bx²)f equals 0 Taking into account that the term (alpha) is much less the others one can try to solve out the following equation: f_xxequals(a+bx²)f.

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Paul E. Sterian, Tiberiu Visan, and Laurentiu Tescan "Better approximation of the solution for the propagation of the quasi-solitons", Proc. SPIE 4762, ALT'01 International Conference on Advanced Laser Technologies, (9 August 2002); https://doi.org/10.1117/12.478634

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KEYWORDS

Solitons

Numerical analysis

Dispersion

Numerical simulations

Differential equations

Optical fibers

Analytical research

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